Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 sider |
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Side iv
... manner quite different from that employed in the original work . In Plane Trigonometry , especially , important changes have been made . The sepa ration of the part which relates to the computations of the sides and angles of triangles ...
... manner quite different from that employed in the original work . In Plane Trigonometry , especially , important changes have been made . The sepa ration of the part which relates to the computations of the sides and angles of triangles ...
Side 23
... manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
... manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
Side 25
... manner , since the angle F is equal to the angle C the line FD will take the direction CA , and the point D will be found somewhere in the line CA. Hence , the point D , falling at the same time in the two straight lines BA and CA ...
... manner , since the angle F is equal to the angle C the line FD will take the direction CA , and the point D will be found somewhere in the line CA. Hence , the point D , falling at the same time in the two straight lines BA and CA ...
Side 29
... manner it may be shown that the angle E is equal to B , and the angle F to C : hence , the two triangles are equal ( P. 6 , s ) . Scholium . It may be observed , that when two triangles are equal to each other , the equal angles lie ...
... manner it may be shown that the angle E is equal to B , and the angle F to C : hence , the two triangles are equal ( P. 6 , s ) . Scholium . It may be observed , that when two triangles are equal to each other , the equal angles lie ...
Side 37
... manner it may be proved that HGA + GHC is equal to two right angles . Cor . 1. If HGB is a right angle , GHD will be a right angle also : therefore , every straight line perpendicular to one of two parallels , is perpendicular to the ...
... manner it may be proved that HGA + GHC is equal to two right angles . Cor . 1. If HGB is a right angle , GHD will be a right angle also : therefore , every straight line perpendicular to one of two parallels , is perpendicular to the ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1874 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre Uten tilgangsbegrensning - 1864 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Side 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.